Chapter 14.6, Problem 69E

EXPLORING CONCEPTS (continued)

Think About It Which of the integrals below is equal

to ${\int }_1^3{\int }_0^2{\int }_{-1}^{1}f(x,y,z)dzdydx?\text{Explain}$

(a) ${\int }_1^3{\int }_0^2{\int }_{-1}^{1}f(x,y,z)dzdxdy$

(b) ${\int }_{-1}^1{\int }_0^2{\int }_1^{3}f(x,y,z)dxdydz$

(c) ${\int }_0^2{\int }_1^3{\int }_{-1}^{1}f(x,y,z)dxdydz$